What is log_{10}((x^3y^4)/(z^6)) ?

The solution to log_{10}((x^3y^4)/(z^6)) is 3log_{10}(x)+4log_{10}(y)-6log_{10}(z)

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simplify log_{10}((x^3y^4)/(z^6))

simplify

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{6}})

3 lo g_{10} (x) + 4 lo g_{10} (y) - 6 lo g_{10} (z)

Solution steps

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{6}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{6}}) = lo g_{10} (x^{3} y^{4}) - lo g_{10} (z^{6})

= lo g_{10} (x^{3} y^{4}) - lo g_{10} (z^{6})

lo g_{10} (x^{3} y^{4}) = 3 lo g_{10} (x) + 4 lo g_{10} (y)

lo g_{10} (z^{6}) = 6 lo g_{10} (z)

= 3 lo g_{10} (x) + 4 lo g_{10} (y) - 6 lo g_{10} (z)

lo g_{b} (\frac{x ^{2} y}{z ^{2}})

ln (\frac{1 0 ^{- 4} x ^{- 2}}{x ^{5}})

ln (k) + 2 ln (7 r)

2 ln (x + 2) - ln (x + 2) - ln (2) - 3

ln (\frac{x ^{p} e ^{- y}}{z})

What is log_{10}((x^3y^4)/(z^6)) ?
The solution to log_{10}((x^3y^4)/(z^6)) is 3log_{10}(x)+4log_{10}(y)-6log_{10}(z)